Discontinuous Dynamical Systems on Time-varying Domains - Luo, Albert C. J.; - Prospero Internet Bookshop

Discontinuous Dynamical Systems on Time-varying Domains
 
Product details:

ISBN13:9783642002526
ISBN10:3642002528
Binding:Hardback
No. of pages:228 pages
Size:235x155 mm
Weight:515 g
Language:English
Illustrations: XI, 228 p. Illustrations, black & white
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Discontinuous Dynamical Systems on Time-varying Domains

 
Edition number: 2009
Publisher: Springer
Date of Publication:
Number of Volumes: 1 pieces, Book
 
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EUR 106.99
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Short description:

This heavily-illustrated book is the first ever to present discontinuous dynamical systems in time-varying domains where the corresponding switchability of a flow to the time-varying boundary in discontinuous dynamical systems is discussed.

Long description:

"Discontinuous Dynamical Systems on Time-varying Domains" is the first monograph focusing on this topic. While in the classic theory of dynamical systems the focus is on dynamical systems on time-invariant domains, this book presents discontinuous dynamical systems on time-varying domains where the corresponding switchability of a flow to the time-varying boundary in discontinuous dynamical systems is discussed. From such a theory, principles of dynamical system interactions without any physical connections are presented. Several discontinuous systems on time-varying domains are analyzed in detail to show how to apply the theory to practical problems. The book can serve as a reference book for researchers, advanced undergraduate and graduate students in mathematics, physics and mechanics.


Dr. Albert C. J. Luo is a professor at Southern Illinois University Edwardsville, USA. His research is involved in the nonlinear theory of dynamical systems. His main contributions are in the following aspects: a stochastic and resonant layer theory in nonlinear Hamiltonian systems, singularity on discontinuous dynamical systems, and approximate nonlinear theories for a deformable-body.

Table of Contents:
Flow Switchability.- Transversality and Sliding Phenomena.- A Frictional Oscillator on Time-varying Belt.- Two Oscillators with Impacts and Stick.- Dynamical Systems with Frictions.- Principles for System Interactions.